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Finding the Fourth Proportional to 739.16, 1,108.74 and 722.96

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Solution

The fourth proportional to 739.16, 1,108.74 and 722.96 is: 1,084.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.16 : 1,108.74 = 722.96 : x
  2. Step 2: Convert to fraction form
    739.16/1,108.74 = 722.96/x
  3. Step 3: Cross multiply
    739.16x = 1,108.74 × 722.96
  4. Step 4: Simplify right side
    739.16x = 801,574.67
  5. Step 5: Solve for x
    x = 801,574.67/739.16
  6. Step 6: Final answer
    x = 1,084.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.